/* This is a slightly modified version of half.cpp from OpenEXR. It is included
   here so that Mitsuba can optionally be compiled without OpenEXR support. */

#include <mitsuba/mitsuba.h>

#if !defined(MTS_HAS_OPENEXR)

///////////////////////////////////////////////////////////////////////////
//
// Copyright (c) 2002, Industrial Light & Magic, a division of Lucas
// Digital Ltd. LLC
// 
// All rights reserved.
// 
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
// met:
// *       Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
// *       Redistributions in binary form must reproduce the above
// copyright notice, this list of conditions and the following disclaimer
// in the documentation and/or other materials provided with the
// distribution.
// *       Neither the name of Industrial Light & Magic nor the names of
// its contributors may be used to endorse or promote products derived
// from this software without specific prior written permission. 
// 
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
//
///////////////////////////////////////////////////////////////////////////

// Primary authors:
//     Florian Kainz <kainz@ilm.com>
//     Rod Bogart <rgb@ilm.com>


//---------------------------------------------------------------------------
//
//	class half --
//	implementation of non-inline members
//
//---------------------------------------------------------------------------

//-----------------------------------------------
// Overflow handler for float-to-half conversion;
// generates a hardware floating-point overflow,
// which may be trapped by the operating system.
//-----------------------------------------------

float
half::overflow ()
{
    volatile float f = 1e10;

    for (int i = 0; i < 10; i++)	
	f *= f;				// this will overflow before
					// the for­loop terminates
    return f;
}


//-----------------------------------------------------
// Float-to-half conversion -- general case, including
// zeroes, denormalized numbers and exponent overflows.
//-----------------------------------------------------

short
half::convert (int i)
{
    //
    // Our floating point number, f, is represented by the bit
    // pattern in integer i.  Disassemble that bit pattern into
    // the sign, s, the exponent, e, and the significand, m.
    // Shift s into the position where it will go in in the
    // resulting half number.
    // Adjust e, accounting for the different exponent bias
    // of float and half (127 versus 15).
    //

    register int s =  (i >> 16) & 0x00008000;
    register int e = ((i >> 23) & 0x000000ff) - (127 - 15);
    register int m =   i        & 0x007fffff;

    //
    // Now reassemble s, e and m into a half:
    //

    if (e <= 0)
    {
	if (e < -10)
	{
	    //
	    // E is less than -10.  The absolute value of f is
	    // less than HALF_MIN (f may be a small normalized
	    // float, a denormalized float or a zero).
	    //
	    // We convert f to a half zero with the same sign as f.
	    //

	    return s;
	}

	//
	// E is between -10 and 0.  F is a normalized float
	// whose magnitude is less than HALF_NRM_MIN.
	//
	// We convert f to a denormalized half.
	//

	//
	// Add an explicit leading 1 to the significand.
	// 

	m = m | 0x00800000;

	//
	// Round to m to the nearest (10+e)-bit value (with e between
	// -10 and 0); in case of a tie, round to the nearest even value.
	//
	// Rounding may cause the significand to overflow and make
	// our number normalized.  Because of the way a half's bits
	// are laid out, we don't have to treat this case separately;
	// the code below will handle it correctly.
	// 

	int t = 14 - e;
	int a = (1 << (t - 1)) - 1;
	int b = (m >> t) & 1;

	m = (m + a + b) >> t;

	//
	// Assemble the half from s, e (zero) and m.
	//

	return s | m;
    }
    else if (e == 0xff - (127 - 15))
    {
	if (m == 0)
	{
	    //
	    // F is an infinity; convert f to a half
	    // infinity with the same sign as f.
	    //

	    return s | 0x7c00;
	}
	else
	{
	    //
	    // F is a NAN; we produce a half NAN that preserves
	    // the sign bit and the 10 leftmost bits of the
	    // significand of f, with one exception: If the 10
	    // leftmost bits are all zero, the NAN would turn 
	    // into an infinity, so we have to set at least one
	    // bit in the significand.
	    //

	    m >>= 13;
	    return s | 0x7c00 | m | (m == 0);
	}
    }
    else
    {
	//
	// E is greater than zero.  F is a normalized float.
	// We try to convert f to a normalized half.
	//

	//
	// Round to m to the nearest 10-bit value.  In case of
	// a tie, round to the nearest even value.
	//

	m = m + 0x00000fff + ((m >> 13) & 1);

	if (m & 0x00800000)
	{
	    m =  0;		// overflow in significand,
	    e += 1;		// adjust exponent
	}

	//
	// Handle exponent overflow
	//

	if (e > 30)
	{
	    overflow ();	// Cause a hardware floating point overflow;
	    return s | 0x7c00;	// if this returns, the half becomes an
	}   			// infinity with the same sign as f.

	//
	// Assemble the half from s, e and m.
	//

	return s | (e << 10) | (m >> 13);
    }
}


//---------------------
// Stream I/O operators
//---------------------

std::ostream &
operator << (std::ostream &os, half h)
{
    os << float (h);
    return os;
}

std::istream &
operator >> (std::istream &is, half &h)
{
    float f;
    is >> f;
    h = half (f);
    return is;
}


//---------------------------------------
// Functions to print the bit-layout of
// floats and halfs, mostly for debugging
//---------------------------------------

void
printBits (std::ostream &os, half h)
{
    unsigned short b = h.bits();

    for (int i = 15; i >= 0; i--)
    {
	os << (((b >> i) & 1)? '1': '0');

	if (i == 15 || i == 10)
	    os << ' ';
    }
}


void
printBits (std::ostream &os, float f)
{
    half::uif x;
    x.f = f;

    for (int i = 31; i >= 0; i--)
    {
	os << (((x.i >> i) & 1)? '1': '0');

	if (i == 31 || i == 23)
	    os << ' ';
    }
}


void
printBits (char c[19], half h)
{
    unsigned short b = h.bits();

    for (int i = 15, j = 0; i >= 0; i--, j++)
    {
	c[j] = (((b >> i) & 1)? '1': '0');

	if (i == 15 || i == 10)
	    c[++j] = ' ';
    }
    
    c[18] = 0;
}


void
printBits (char c[35], float f)
{
    half::uif x;
    x.f = f;

    for (int i = 31, j = 0; i >= 0; i--, j++)
    {
	c[j] = (((x.i >> i) & 1)? '1': '0');

	if (i == 31 || i == 23)
	    c[++j] = ' ';
    }

    c[34] = 0;
}

//-------------------------------------------------------------
// Lookup tables for half-to-float and float-to-half conversion
//-------------------------------------------------------------

half::uif half::_toFloat[1 << 16] =
{
    {0x00000000}, {0x33800000}, {0x34000000}, {0x34400000}, 
    {0x34800000}, {0x34a00000}, {0x34c00000}, {0x34e00000}, 
    {0x35000000}, {0x35100000}, {0x35200000}, {0x35300000}, 
    {0x35400000}, {0x35500000}, {0x35600000}, {0x35700000}, 
    {0x35800000}, {0x35880000}, {0x35900000}, {0x35980000}, 
    {0x35a00000}, {0x35a80000}, {0x35b00000}, {0x35b80000}, 
    {0x35c00000}, {0x35c80000}, {0x35d00000}, {0x35d80000}, 
    {0x35e00000}, {0x35e80000}, {0x35f00000}, {0x35f80000}, 
    {0x36000000}, {0x36040000}, {0x36080000}, {0x360c0000}, 
    {0x36100000}, {0x36140000}, {0x36180000}, {0x361c0000}, 
    {0x36200000}, {0x36240000}, {0x36280000}, {0x362c0000}, 
    {0x36300000}, {0x36340000}, {0x36380000}, {0x363c0000}, 
    {0x36400000}, {0x36440000}, {0x36480000}, {0x364c0000}, 
    {0x36500000}, {0x36540000}, {0x36580000}, {0x365c0000}, 
    {0x36600000}, {0x36640000}, {0x36680000}, {0x366c0000}, 
    {0x36700000}, {0x36740000}, {0x36780000}, {0x367c0000}, 
    {0x36800000}, {0x36820000}, {0x36840000}, {0x36860000}, 
    {0x36880000}, {0x368a0000}, {0x368c0000}, {0x368e0000}, 
    {0x36900000}, {0x36920000}, {0x36940000}, {0x36960000}, 
    {0x36980000}, {0x369a0000}, {0x369c0000}, {0x369e0000}, 
    {0x36a00000}, {0x36a20000}, {0x36a40000}, {0x36a60000}, 
    {0x36a80000}, {0x36aa0000}, {0x36ac0000}, {0x36ae0000}, 
    {0x36b00000}, {0x36b20000}, {0x36b40000}, {0x36b60000}, 
    {0x36b80000}, {0x36ba0000}, {0x36bc0000}, {0x36be0000}, 
    {0x36c00000}, {0x36c20000}, {0x36c40000}, {0x36c60000}, 
    {0x36c80000}, {0x36ca0000}, {0x36cc0000}, {0x36ce0000}, 
    {0x36d00000}, {0x36d20000}, {0x36d40000}, {0x36d60000}, 
    {0x36d80000}, {0x36da0000}, {0x36dc0000}, {0x36de0000}, 
    {0x36e00000}, {0x36e20000}, {0x36e40000}, {0x36e60000}, 
    {0x36e80000}, {0x36ea0000}, {0x36ec0000}, {0x36ee0000}, 
    {0x36f00000}, {0x36f20000}, {0x36f40000}, {0x36f60000}, 
    {0x36f80000}, {0x36fa0000}, {0x36fc0000}, {0x36fe0000}, 
    {0x37000000}, {0x37010000}, {0x37020000}, {0x37030000}, 
    {0x37040000}, {0x37050000}, {0x37060000}, {0x37070000}, 
    {0x37080000}, {0x37090000}, {0x370a0000}, {0x370b0000}, 
    {0x370c0000}, {0x370d0000}, {0x370e0000}, {0x370f0000}, 
    {0x37100000}, {0x37110000}, {0x37120000}, {0x37130000}, 
    {0x37140000}, {0x37150000}, {0x37160000}, {0x37170000}, 
    {0x37180000}, {0x37190000}, {0x371a0000}, {0x371b0000}, 
    {0x371c0000}, {0x371d0000}, {0x371e0000}, {0x371f0000}, 
    {0x37200000}, {0x37210000}, {0x37220000}, {0x37230000}, 
    {0x37240000}, {0x37250000}, {0x37260000}, {0x37270000}, 
    {0x37280000}, {0x37290000}, {0x372a0000}, {0x372b0000}, 
    {0x372c0000}, {0x372d0000}, {0x372e0000}, {0x372f0000}, 
    {0x37300000}, {0x37310000}, {0x37320000}, {0x37330000}, 
    {0x37340000}, {0x37350000}, {0x37360000}, {0x37370000}, 
    {0x37380000}, {0x37390000}, {0x373a0000}, {0x373b0000}, 
    {0x373c0000}, {0x373d0000}, {0x373e0000}, {0x373f0000}, 
    {0x37400000}, {0x37410000}, {0x37420000}, {0x37430000}, 
    {0x37440000}, {0x37450000}, {0x37460000}, {0x37470000}, 
    {0x37480000}, {0x37490000}, {0x374a0000}, {0x374b0000}, 
    {0x374c0000}, {0x374d0000}, {0x374e0000}, {0x374f0000}, 
    {0x37500000}, {0x37510000}, {0x37520000}, {0x37530000}, 
    {0x37540000}, {0x37550000}, {0x37560000}, {0x37570000}, 
    {0x37580000}, {0x37590000}, {0x375a0000}, {0x375b0000}, 
    {0x375c0000}, {0x375d0000}, {0x375e0000}, {0x375f0000}, 
    {0x37600000}, {0x37610000}, {0x37620000}, {0x37630000}, 
    {0x37640000}, {0x37650000}, {0x37660000}, {0x37670000}, 
    {0x37680000}, {0x37690000}, {0x376a0000}, {0x376b0000}, 
    {0x376c0000}, {0x376d0000}, {0x376e0000}, {0x376f0000}, 
    {0x37700000}, {0x37710000}, {0x37720000}, {0x37730000}, 
    {0x37740000}, {0x37750000}, {0x37760000}, {0x37770000}, 
    {0x37780000}, {0x37790000}, {0x377a0000}, {0x377b0000}, 
    {0x377c0000}, {0x377d0000}, {0x377e0000}, {0x377f0000}, 
    {0x37800000}, {0x37808000}, {0x37810000}, {0x37818000}, 
    {0x37820000}, {0x37828000}, {0x37830000}, {0x37838000}, 
    {0x37840000}, {0x37848000}, {0x37850000}, {0x37858000}, 
    {0x37860000}, {0x37868000}, {0x37870000}, {0x37878000}, 
    {0x37880000}, {0x37888000}, {0x37890000}, {0x37898000}, 
    {0x378a0000}, {0x378a8000}, {0x378b0000}, {0x378b8000}, 
    {0x378c0000}, {0x378c8000}, {0x378d0000}, {0x378d8000}, 
    {0x378e0000}, {0x378e8000}, {0x378f0000}, {0x378f8000}, 
    {0x37900000}, {0x37908000}, {0x37910000}, {0x37918000}, 
    {0x37920000}, {0x37928000}, {0x37930000}, {0x37938000}, 
    {0x37940000}, {0x37948000}, {0x37950000}, {0x37958000}, 
    {0x37960000}, {0x37968000}, {0x37970000}, {0x37978000}, 
    {0x37980000}, {0x37988000}, {0x37990000}, {0x37998000}, 
    {0x379a0000}, {0x379a8000}, {0x379b0000}, {0x379b8000}, 
    {0x379c0000}, {0x379c8000}, {0x379d0000}, {0x379d8000}, 
    {0x379e0000}, {0x379e8000}, {0x379f0000}, {0x379f8000}, 
    {0x37a00000}, {0x37a08000}, {0x37a10000}, {0x37a18000}, 
    {0x37a20000}, {0x37a28000}, {0x37a30000}, {0x37a38000}, 
    {0x37a40000}, {0x37a48000}, {0x37a50000}, {0x37a58000}, 
    {0x37a60000}, {0x37a68000}, {0x37a70000}, {0x37a78000}, 
    {0x37a80000}, {0x37a88000}, {0x37a90000}, {0x37a98000}, 
    {0x37aa0000}, {0x37aa8000}, {0x37ab0000}, {0x37ab8000}, 
    {0x37ac0000}, {0x37ac8000}, {0x37ad0000}, {0x37ad8000}, 
    {0x37ae0000}, {0x37ae8000}, {0x37af0000}, {0x37af8000}, 
    {0x37b00000}, {0x37b08000}, {0x37b10000}, {0x37b18000}, 
    {0x37b20000}, {0x37b28000}, {0x37b30000}, {0x37b38000}, 
    {0x37b40000}, {0x37b48000}, {0x37b50000}, {0x37b58000}, 
    {0x37b60000}, {0x37b68000}, {0x37b70000}, {0x37b78000}, 
    {0x37b80000}, {0x37b88000}, {0x37b90000}, {0x37b98000}, 
    {0x37ba0000}, {0x37ba8000}, {0x37bb0000}, {0x37bb8000}, 
    {0x37bc0000}, {0x37bc8000}, {0x37bd0000}, {0x37bd8000}, 
    {0x37be0000}, {0x37be8000}, {0x37bf0000}, {0x37bf8000}, 
    {0x37c00000}, {0x37c08000}, {0x37c10000}, {0x37c18000}, 
    {0x37c20000}, {0x37c28000}, {0x37c30000}, {0x37c38000}, 
    {0x37c40000}, {0x37c48000}, {0x37c50000}, {0x37c58000}, 
    {0x37c60000}, {0x37c68000}, {0x37c70000}, {0x37c78000}, 
    {0x37c80000}, {0x37c88000}, {0x37c90000}, {0x37c98000}, 
    {0x37ca0000}, {0x37ca8000}, {0x37cb0000}, {0x37cb8000}, 
    {0x37cc0000}, {0x37cc8000}, {0x37cd0000}, {0x37cd8000}, 
    {0x37ce0000}, {0x37ce8000}, {0x37cf0000}, {0x37cf8000}, 
    {0x37d00000}, {0x37d08000}, {0x37d10000}, {0x37d18000}, 
    {0x37d20000}, {0x37d28000}, {0x37d30000}, {0x37d38000}, 
    {0x37d40000}, {0x37d48000}, {0x37d50000}, {0x37d58000}, 
    {0x37d60000}, {0x37d68000}, {0x37d70000}, {0x37d78000}, 
    {0x37d80000}, {0x37d88000}, {0x37d90000}, {0x37d98000}, 
    {0x37da0000}, {0x37da8000}, {0x37db0000}, {0x37db8000}, 
    {0x37dc0000}, {0x37dc8000}, {0x37dd0000}, {0x37dd8000}, 
    {0x37de0000}, {0x37de8000}, {0x37df0000}, {0x37df8000}, 
    {0x37e00000}, {0x37e08000}, {0x37e10000}, {0x37e18000}, 
    {0x37e20000}, {0x37e28000}, {0x37e30000}, {0x37e38000}, 
    {0x37e40000}, {0x37e48000}, {0x37e50000}, {0x37e58000}, 
    {0x37e60000}, {0x37e68000}, {0x37e70000}, {0x37e78000}, 
    {0x37e80000}, {0x37e88000}, {0x37e90000}, {0x37e98000}, 
    {0x37ea0000}, {0x37ea8000}, {0x37eb0000}, {0x37eb8000}, 
    {0x37ec0000}, {0x37ec8000}, {0x37ed0000}, {0x37ed8000}, 
    {0x37ee0000}, {0x37ee8000}, {0x37ef0000}, {0x37ef8000}, 
    {0x37f00000}, {0x37f08000}, {0x37f10000}, {0x37f18000}, 
    {0x37f20000}, {0x37f28000}, {0x37f30000}, {0x37f38000}, 
    {0x37f40000}, {0x37f48000}, {0x37f50000}, {0x37f58000}, 
    {0x37f60000}, {0x37f68000}, {0x37f70000}, {0x37f78000}, 
    {0x37f80000}, {0x37f88000}, {0x37f90000}, {0x37f98000}, 
    {0x37fa0000}, {0x37fa8000}, {0x37fb0000}, {0x37fb8000}, 
    {0x37fc0000}, {0x37fc8000}, {0x37fd0000}, {0x37fd8000}, 
    {0x37fe0000}, {0x37fe8000}, {0x37ff0000}, {0x37ff8000}, 
    {0x38000000}, {0x38004000}, {0x38008000}, {0x3800c000}, 
    {0x38010000}, {0x38014000}, {0x38018000}, {0x3801c000}, 
    {0x38020000}, {0x38024000}, {0x38028000}, {0x3802c000}, 
    {0x38030000}, {0x38034000}, {0x38038000}, {0x3803c000}, 
    {0x38040000}, {0x38044000}, {0x38048000}, {0x3804c000}, 
    {0x38050000}, {0x38054000}, {0x38058000}, {0x3805c000}, 
    {0x38060000}, {0x38064000}, {0x38068000}, {0x3806c000}, 
    {0x38070000}, {0x38074000}, {0x38078000}, {0x3807c000}, 
    {0x38080000}, {0x38084000}, {0x38088000}, {0x3808c000}, 
    {0x38090000}, {0x38094000}, {0x38098000}, {0x3809c000}, 
    {0x380a0000}, {0x380a4000}, {0x380a8000}, {0x380ac000}, 
    {0x380b0000}, {0x380b4000}, {0x380b8000}, {0x380bc000}, 
    {0x380c0000}, {0x380c4000}, {0x380c8000}, {0x380cc000}, 
    {0x380d0000}, {0x380d4000}, {0x380d8000}, {0x380dc000}, 
    {0x380e0000}, {0x380e4000}, {0x380e8000}, {0x380ec000}, 
    {0x380f0000}, {0x380f4000}, {0x380f8000}, {0x380fc000}, 
    {0x38100000}, {0x38104000}, {0x38108000}, {0x3810c000}, 
    {0x38110000}, {0x38114000}, {0x38118000}, {0x3811c000}, 
    {0x38120000}, {0x38124000}, {0x38128000}, {0x3812c000}, 
    {0x38130000}, {0x38134000}, {0x38138000}, {0x3813c000}, 
    {0x38140000}, {0x38144000}, {0x38148000}, {0x3814c000}, 
    {0x38150000}, {0x38154000}, {0x38158000}, {0x3815c000}, 
    {0x38160000}, {0x38164000}, {0x38168000}, {0x3816c000}, 
    {0x38170000}, {0x38174000}, {0x38178000}, {0x3817c000}, 
    {0x38180000}, {0x38184000}, {0x38188000}, {0x3818c000}, 
    {0x38190000}, {0x38194000}, {0x38198000}, {0x3819c000}, 
    {0x381a0000}, {0x381a4000}, {0x381a8000}, {0x381ac000}, 
    {0x381b0000}, {0x381b4000}, {0x381b8000}, {0x381bc000}, 
    {0x381c0000}, {0x381c4000}, {0x381c8000}, {0x381cc000}, 
    {0x381d0000}, {0x381d4000}, {0x381d8000}, {0x381dc000}, 
    {0x381e0000}, {0x381e4000}, {0x381e8000}, {0x381ec000}, 
    {0x381f0000}, {0x381f4000}, {0x381f8000}, {0x381fc000}, 
    {0x38200000}, {0x38204000}, {0x38208000}, {0x3820c000}, 
    {0x38210000}, {0x38214000}, {0x38218000}, {0x3821c000}, 
    {0x38220000}, {0x38224000}, {0x38228000}, {0x3822c000}, 
    {0x38230000}, {0x38234000}, {0x38238000}, {0x3823c000}, 
    {0x38240000}, {0x38244000}, {0x38248000}, {0x3824c000}, 
    {0x38250000}, {0x38254000}, {0x38258000}, {0x3825c000}, 
    {0x38260000}, {0x38264000}, {0x38268000}, {0x3826c000}, 
    {0x38270000}, {0x38274000}, {0x38278000}, {0x3827c000}, 
    {0x38280000}, {0x38284000}, {0x38288000}, {0x3828c000}, 
    {0x38290000}, {0x38294000}, {0x38298000}, {0x3829c000}, 
    {0x382a0000}, {0x382a4000}, {0x382a8000}, {0x382ac000}, 
    {0x382b0000}, {0x382b4000}, {0x382b8000}, {0x382bc000}, 
    {0x382c0000}, {0x382c4000}, {0x382c8000}, {0x382cc000}, 
    {0x382d0000}, {0x382d4000}, {0x382d8000}, {0x382dc000}, 
    {0x382e0000}, {0x382e4000}, {0x382e8000}, {0x382ec000}, 
    {0x382f0000}, {0x382f4000}, {0x382f8000}, {0x382fc000}, 
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    {0xfffc8000}, {0xfffca000}, {0xfffcc000}, {0xfffce000}, 
    {0xfffd0000}, {0xfffd2000}, {0xfffd4000}, {0xfffd6000}, 
    {0xfffd8000}, {0xfffda000}, {0xfffdc000}, {0xfffde000}, 
    {0xfffe0000}, {0xfffe2000}, {0xfffe4000}, {0xfffe6000}, 
    {0xfffe8000}, {0xfffea000}, {0xfffec000}, {0xfffee000}, 
    {0xffff0000}, {0xffff2000}, {0xffff4000}, {0xffff6000}, 
    {0xffff8000}, {0xffffa000}, {0xffffc000}, {0xffffe000}, 
};

unsigned short half::_eLut[1 << 9] =
{
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,  1024,  2048,  3072,  4096,  5120,  6144,  7168, 
     8192,  9216, 10240, 11264, 12288, 13312, 14336, 15360, 
    16384, 17408, 18432, 19456, 20480, 21504, 22528, 23552, 
    24576, 25600, 26624, 27648, 28672, 29696,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0, 33792, 34816, 35840, 36864, 37888, 38912, 39936, 
    40960, 41984, 43008, 44032, 45056, 46080, 47104, 48128, 
    49152, 50176, 51200, 52224, 53248, 54272, 55296, 56320, 
    57344, 58368, 59392, 60416, 61440, 62464,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
        0,     0,     0,     0,     0,     0,     0,     0, 
};

#endif
